Analyzing the M-projective Curvature Tensor in 𝑮𝓑𝑲−𝟓𝑹𝑭𝒏 With Lie Derivative Methods
Year: 2025
Type: article
Abstract: In this paper, we investigate the M-projective curvature tensor 𝑊̅𝑗𝑘𝑖 ℎ in generalized fifth recurrence Finsler space for Cartan's fourth curvature tensor in sense of Berwald by using 𝐿𝑖𝑒-derivative. Our study aims to provide new insights into the geometric properties of these spaces and the behavior of the M-projective curvature tensor 𝑊̅𝑗𝑘𝑖 ℎ under Lie differentiation. By employing the Lie derivative, we are able to derive new identities and relations involving the M-projective curvature tensor 𝑊̅𝑗𝑘𝑖 ℎ . We get relationships between some tensors when the M-projective curvature tensor 𝑊̅𝑗𝑘𝑖 ℎ is collineation along a vector field 𝑣(𝑥). Furthermore, we obtain the Berwald covariant derivative of fifth order for some tensors are vanishing and we establish various identities on 𝐿𝑖𝑒-derivative in 𝐺ℬ𝐾 − 5𝑅𝐹𝑛.
Authors: Chukwu, Samuel Ibrahim, Alhassan, Amina Rahma
Institutions: University of Aden, University of Science and Technology
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6911977427
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